If the Chazan at some point in Davening says the wrong Kaddish and then at a later point realizes his error, can anything be done to rectify his error?

For example: this morning - which was Rosh Chodesh Elul - I Davened in a Shul where the Chazan after Hallel instead of saying Kadish Shalaim said Chatzi Kaddish in error, and no one corrected him. In middle of Kriyas haTorah he realized his error. Would the Chazan be able to do anything at that point to rectify his error?